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What is the Least Common Multiple of 62598 and 62615?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 62598 and 62615 is 3919573770.

LCM(62598,62615) = 3919573770

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Least Common Multiple of 62598 and 62615 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62598 and 62615, than apply into the LCM equation.

GCF(62598,62615) = 1
LCM(62598,62615) = ( 62598 × 62615) / 1
LCM(62598,62615) = 3919573770 / 1
LCM(62598,62615) = 3919573770

Least Common Multiple (LCM) of 62598 and 62615 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62598 and 62615. First we will calculate the prime factors of 62598 and 62615.

Prime Factorization of 62598

Prime factors of 62598 are 2, 3, 10433. Prime factorization of 62598 in exponential form is:

62598 = 21 × 31 × 104331

Prime Factorization of 62615

Prime factors of 62615 are 5, 7, 1789. Prime factorization of 62615 in exponential form is:

62615 = 51 × 71 × 17891

Now multiplying the highest exponent prime factors to calculate the LCM of 62598 and 62615.

LCM(62598,62615) = 21 × 31 × 104331 × 51 × 71 × 17891
LCM(62598,62615) = 3919573770